Question

One gallon of propane yields approximately 91,500 BTU. About how many BTUs does the spherical storage tank shown provide? Round to the nearest million BTUs.

Answer 1

Answer:

The spherical storage tank can provide 358,000,000 BTU's.

Step-by-step explanation:

Given:

Approximately 91,500 BTU one gallon of propane yields.

The figure is not shown in the question, so below is figure attached:

Now, to find the quantity of BTU's the spherical storage tank can provide.

The radius ($r$) of the tank = 5 ft.

Now, to get the volume of tank using formula of sphere:

Using the value of π = 3.14.

$Volume=\frac{4}{3} \pi r^3\\\\Volume=\frac{4}{3} \times 3.14\times 5^3\\\\Volume=\frac{4}{3} \times 3.14\times 125 \\\\Volume=523.33\ ft^3.$

Now, to convert the quantity in to gallon by using conversion factor:

1 ft³ = 7.48 gallon.

523.33 ft³ = 7.48 × 523.33 gallon.

523.33 ft³ = 3914.51 gallon.

Thus, the tank can provide 3914.51 gallon.

As, approximately 91,500 BTU one gallon of propane yields.

Now, to get the BTU's the 3914.51 gallon tank can provide by multiplying 3914.51 gallon by 91,500 BTU:

$3914.51\times 91,500\\\\=358177665\ BTU.$

Hence, rounding to the nearest million is 358,000,000 BTU's.

Therefore, the spherical storage tank can provide 358,000,000 BTU's.